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101701216 = 2523138181
BaseRepresentation
bin1100000111111…
…01011001100000
321002100221211201
412003331121200
5202013414331
614031450544
72343306001
oct603753140
9232327751
10101701216
11524536a1
122a086a54
13180bac46
14d7151a8
158ddda61
hex60fd660

101701216 has 24 divisors (see below), whose sum is σ = 208931184. Its totient is φ = 48639360.

The previous prime is 101701211. The next prime is 101701217. The reversal of 101701216 is 612107101.

It is a junction number, because it is equal to n+sod(n) for n = 101701193 and 101701202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101701211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68355 + ... + 69826.

It is an arithmetic number, because the mean of its divisors is an integer number (8705466).

Almost surely, 2101701216 is an apocalyptic number.

101701216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101701216 is the 5391-st centered heptagonal number.

It is an amenable number.

101701216 is an abundant number, since it is smaller than the sum of its proper divisors (107229968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101701216 is a wasteful number, since it uses less digits than its factorization.

101701216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138214 (or 138206 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 19.

The square root of 101701216 is about 10084.7020779000. The cubic root of 101701216 is about 466.7762119251.

Adding to 101701216 its reverse (612107101), we get a palindrome (713808317).

The spelling of 101701216 in words is "one hundred one million, seven hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 138181 276362 552724 1105448 2210896 3178163 4421792 6356326 12712652 25425304 50850608 101701216